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On a new linear operator formulated by Airy functions in the open unit disk

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2021

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Springer

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Matematik
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In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is suggested to define a class of normalized functions (the class of univalent functions) calling the Airy difference formula. As a result, the suggested difference formula joining the linear operator is modified to different classes of analytic functions in the open unit disk.

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Ibrahim, Rabha W./0000-0001-9341-025X

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Analytic Function, Univalent Function, Subordination, Open Unit Disk

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Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "On a new linear operator formulated by Airy functions in the open unit disk", Advances in Difference Equations, Vol. 2021, No. 1.

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2021

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1

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